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Finding the Fourth Proportional to 154.41, 231.72 and 73.27

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Solution

The fourth proportional to 154.41, 231.72 and 73.27 is: 109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.41 : 231.72 = 73.27 : x
  2. Step 2: Convert to fraction form
    154.41/231.72 = 73.27/x
  3. Step 3: Cross multiply
    154.41x = 231.72 × 73.27
  4. Step 4: Simplify right side
    154.41x = 16,978.12
  5. Step 5: Solve for x
    x = 16,978.12/154.41
  6. Step 6: Final answer
    x = 109.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.